Binary String to double?

Here is a piece of code where I take a double and convert it to a binary string.

S=[1.123,2,3];

q = quantizer('double');

B = num2bin(q,S(1));

Which returns

B = '0011111111110001111101111100111011011001000101101000011100101011'

In my code, I randomly change one bit, but I need a way to convert it back to a double.

[KSSV]

bin2dec

Answer 1

[Walter Roberson]

bin2num(q, B)

Note:

If you randomly change the first bit then you will get the negative of the original value. If you randomly change one of the 11 bits after that, then you will affect the entire scale of the number, equivalent to multiplying or dividing by a power of 2.

If the number happened to quantize to 0, then if you change one of the last 52 bits then you would have a "denormalized number", which would be a value between 4.94065645841247e-324 and 2.2250738585072e-308